I'm interested in geometric analysis and partial differential equations. My recent research concentrates on geometric variational problems (specifically on energies depending on the first and second fundamental forms) and the properties of weak immersions, including local injectivity and approximation by smooth immersions with control of conformal classes.
The analysis of Willmore surfaces and its generalizations in higher dimensions, with Dorian Martino and Tristan Rivière, 2025.
The regularity of critical points to the Dirichlet energy of the mean curvature in dimension 4, with Yann Bernard, Dorian Martino, and Tristan Rivière, 2025.
Sobolev orthogonal polynomials on the Sierpinski gasket, with Qingxuan Jiang, Kasso A. Okoudjou, Robert S. Strichartz, Shashank Sule, Sreeram Venkat and Xiaoduo Wang, J. Fourier Anal. Appl. 27 (2021), no. 3, Paper No. 38, 38 pp.
(upcoming) Analysis seminar, ETH Zürich, December 16, 2025.